Question

The measure of a pair of vertical angles equal (8x-24) raised to 0 degree and (6x) raised to the 0 degree. What does the measure of each angle equal?

Answer 1

Use this definition:
\[a^0=1\]

Answer 2

so do i set it ip like (8x-24) =1

Answer 3

Read your problem carefully.
Do you know what vertical angles are?

Answer 4

opposite of eac other but share the same vertex?

Answer 5

Those are vertical angles. Do you know that vertical angles are congruent?

Answer 6

yes

Answer 7

You problem says: "the measure of a pair of vertical angles"
So right off we know that they will have the same measure, right?

Answer 8

right

Answer 9

And then it says that the first one is :
\[(8x-24)^0\]

Answer 10

Isn't that what it says?

Answer 11

yes

Answer 12

And remember, I just posted the definition that:
\[a^0=1\]

Answer 13

So if we replace "a" with (8x-24) , what do we get for:
\[(8x-24)^0\]

Answer 14

1

Answer 15

Yes and since vertical angles are equal both angles are equal to 1